Hybrid spectral/iterative partitioning

  • Authors:
  • Jason Y. Zien;Pak K. Chan;Martine Schlag

  • Affiliations:
  • IBM Almaden Research Center, 650 Harry Road, San Jose, CA;Computer Engineering, UCSC, Santa Cruz, CA;Computer Engineering, UCSC, Santa Cruz, CA

  • Venue:
  • ICCAD '97 Proceedings of the 1997 IEEE/ACM international conference on Computer-aided design
  • Year:
  • 1997

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Abstract

We develop a new multi-way, hybrid spectral/iterative hypergraph partitioning algorithm that combines the strengths of spectral partitioners and iterative improvement algorithms to create a new class of partitioners. We use spectral information (the eigenvectors of a graph) to generate initial partitions, influence the selection of iterative improvement moves, and break out of local minima. Our 3-way and 4-way partitioning results exhibit significant improvement over current published results, demonstrating the effectiveness of our new method. Our hybrid algorithm produces an improvement of 25% over GFM for 3-way partitions, 41% improvement over GFM for 4-way partitions, and 58% improvement over ML_F for 4-way partitions.